괄호 안의 항을 2, 3, 4 항으로 설정하는 기능 추가

app/(game)/variable-parentheses/play/page.tsx

@@ -1,9 +1,13 @@
 import VariablePlayClient from "./VariablePlayClient";
-import type { VariableProblemCount } from "@/store/variableGameStore";
+import type {
+  VariableMaxTermCount,
+  VariableProblemCount,
+} from "@/store/variableGameStore";
 
 interface VariablePlayPageProps {
   searchParams?: {
     count?: string | string[];
+    terms?: string | string[];
   };
 }
 
@@ -15,10 +19,24 @@ function parseProblemCount(count?: string | string[]): VariableProblemCount {
   return count === "5" ? 5 : 10;
 }
 
+function parseMaxTermCount(terms?: string | string[]): VariableMaxTermCount {
+  if (Array.isArray(terms)) {
+    return parseMaxTermCount(terms[0]);
+  }
+
+  if (terms === "3") return 3;
+  if (terms === "4") return 4;
+
+  return 2;
+}
+
 export default function VariablePlayPage({
   searchParams,
 }: VariablePlayPageProps) {
   return (
-    <VariablePlayClient problemCount={parseProblemCount(searchParams?.count)} />
+    <VariablePlayClient
+      problemCount={parseProblemCount(searchParams?.count)}
+      maxTermCount={parseMaxTermCount(searchParams?.terms)}
+    />
   );
 }